Volume: 5, Issue: 1(1990)
pp. 1-91 DOI: 10.1142/S0217751X90000027
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Abstract |
Full Text (PDF, 4,324KB)
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| Title: |
QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS |
| Author(s): |
SHAHN MAJID
Work supported by SERC Research Assistantship.
Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, SA2 8PP, UK
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| History: |
Received 10 April 1989
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| Abstract: |
This is an informal introduction to the theory of quasitriangular Hopf algebras and its connections with physics. Basic properties and applications of Hopf algebras and Yang-Baxter equations are reviewed, with the quantum group Uq(sl2) as a frequent example. The development builds up to the representation theory of quasitriangular Hopf algebras. Much of the abstract representation theory is new, including a formula for the rank of a representation. |
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